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Polygons, polyhedra and polytopes

Geometric operators
Rectification (geometry)Truncation (geometry)BitruncationCantellationRuncinationStericationOmnitruncationExpansion (geometry)Snub (geometry)Alternation (geometry)Dual polyhedronGyration (geometry)Elon ...
2014-3-16 17:01
Dimensional families
Regular polytope and List of regular polytopesSimplexHypercubeCross-polytopeUniform polytopeDemihypercubeUniform 1k2 polytopeUniform 2k1 polytopeUniform k21 polytopeHoneycombsHypercubic honeycombAlter ...
2014-3-16 16:59
Ten dimensions
10-polytope10-cube10-demicube10-orthoplex10-simplex
2014-3-16 16:59
Nine dimensions
9-polytope9-cube9-demicube9-orthoplex9-simplexHyperbolic honeycombsE9 honeycomb
2014-3-16 16:58
Eight dimension
Eight-dimensional space, uniform 8-polytope8-simplex, Rectified 8-simplex, Truncated 8-simplex, Cantellated 8-simplex, Runcinated 8-simplex, Stericated 8-simplex, Pentellated 8-simplex, Hexicated 8-si ...
2014-3-16 16:58
Seven dimensions
Seven-dimensional space, uniform 7-polytope7-simplex, Rectified 7-simplex, Truncated 7-simplex, Cantellated 7-simplex, Runcinated 7-simplex, Stericated 7-simplex, Pentellated 7-simplex, Hexicated 7-si ...
2014-3-16 16:57
Six dimensions
Six-dimensional space, 6-polytope and uniform 6-polytope6-simplex, Rectified 6-simplex, Truncated 6-simplex, Cantellated 6-simplex, Runcinated 6-simplex, Stericated 6-simplex, Pentellated 6-simplex6-d ...
2014-3-16 16:57
Five dimensions
Five-dimensional space, 5-polytope and uniform 5-polytope5-simplex, Rectified 5-simplex, Truncated 5-simplex, Cantellated 5-simplex, Runcinated 5-simplex, Stericated 5-simplex5-demicube, Truncated 5-d ...
2014-3-16 16:56
Four dimensions
Four-dimensional spacePolychoron – general term for a four dimensional polytopeRegular convex polychoron5-cell, Tesseract, 16-cell, 24-cell, 120-cell, 600-cellAbstract regular polytope11-cell, 57-cel ...
2014-3-16 16:56
Three dimensional
Three-dimensional spaceRegularRegular polyhedronPlatonic solid:Tetrahedron, Cube, Octahedron, Dodecahedron, IcosahedronRegular spherical polyhedronDihedron, HosohedronKepler–Poinsot polyhedron (Regul ...
2014-3-16 16:55
Two dimensional
TriangleEquilateral triangleIsosceles triangleScalene triangle, Right triangleQuadrilateralSquareQuadrilateralRectangleRhombusParallelogramTrapezoidIsosceles trapezoidKiteRhomboidPentagonHexagonHeptag ...
2014-3-16 16:54
Polytope elements
Polygon (2-polytope)VertexEdge the facet or (n−1)-face of the polygonPolyhedron (3-polytope)Vertex the peak or (n−3)-face of the polyhedronEdge the ridge or (n−2)-face of the polyhedronFace the fac ...
2014-3-16 16:53
List of polygons, polyhedra and polytopes
A polytope is a geometric object with flat sides, which exists in any general number of dimensions. The following list of polygons, polyhedra and polytopes gives the names of various classes of polyto ...
2014-3-16 16:53

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